**Level:** F.Sc (Pre-Engg)**Class:** 2nd Year**Board:** Punjab Textbook Board**Subject:** Mathematics**Total Exercises:** 5**Type:** Notes

Title | solution |
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Exercise 1.1 | View |

Exercise 1.2 | View |

Exercise 1.3 | View |

Exercise 1.4 | View |

Exercise 1.5 | View |

**In this chapter we will read these topics:**

- Define the terms function.
- Define independent and dependent variables.
- Who used the terms function.
- Who invented the symbolic way to write function.
- Define domain of a function.
- Define the co-domain of a function.
- Define the range of a function.
- Define the real-valued function.
- What is vertical line test of graph of a function.
- Define piece-wise function.
- Define Open interval.
- Define half closed interval.
- Define closed interval.
- Types of function.
- Define Polynomial function.
- Define Linear function.
- Define Quadratic function.
- Define Identity function.
- Define Constant function.
- Define rational function.
- Define trigonometric function.
- Define the inverse trigonometric function.
- Define the exponential function.
- Composition of functions and Inverse of a function.
- Define the composition of functions.
- Define the inverse of a function.
- The Real-Valued function.
- Theorems on the limit of functions.
- Limits of important functions.
- Prove theorem when n is a negative integer.
- Prove theorem when n is a positive integer.
- Prove theorem when n is zero.
- State Sandwich Theorem.
- Define the limit of a function.
- Define Left Hand and Right-Hand Limit of a function.
- What is the criterion for the existence of a limit of a function?
- Continuous and Discontinuous functions.
- Define Continuous function.
- Discuss the continuity of function.
- Draw the graph.
- Graphs the curves of parametric equations.
- Find the graphical solution of the equations.